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Finding the Third Proportional to 243,450.56 and 532,691.44

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Solution

The third proportional to 243,450.56 and 532,691.44 is: 1,165,576.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,450.56 : 532,691.44 = 532,691.44 : x
  2. Step 2: Convert to fraction form
    243,450.56/532,691.44 = 532,691.44/x
  3. Step 3: Cross multiply
    243,450.56x = 532,691.44 × 532,691.44
  4. Step 4: Simplify right side
    243,450.56x = 283,760,167,585.82
  5. Step 5: Solve for x
    x = 283,760,167,585.82/243,450.56
  6. Step 6: Final answer
    x = 1,165,576.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.